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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 239 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 6n + 30 = 90. What is n?
  2. 2.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 28 years. How old is Saanvi?
  3. 3.Solve: 5m − 61 = 4. What is m?
  4. 4.Karan’s mother is three times as old as Karan. Their ages add up to 44 years. How old is Karan?
  5. 5.Solve: n/8 + 16 = 29. What is n?
  6. 6.Solve: 2(p + 4) = 38. What is p?
  7. 7.Rahul thinks of a number, multiplies it by 2 and then adds 4. The result is 12. What is the number?
  8. 8.Solve: y/8 + 11 = 26. What is y?
  9. 9.Solve: 9x − 5 = 22. What is x?
  10. 10.Solve: 5m + 2 = 32. What is m?
  11. 11.Solve: 5m − 6 = 19. What is m?
  12. 12.Solve: 9y + 9 = 45. What is y?
  13. 13.Solve: m/9 + 17 = 31. What is m?
  14. 14.Lakshmi thinks of a number, multiplies it by 2 and then adds 2. The result is 6. What is the number?
  15. 15.Solve: 6(n + 9) = 102. What is n?
  16. 16.Solve: 4t − 27 = 5. What is t?
  17. 17.Rohan is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  18. 18.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 50 years. How old is Saanvi?
  19. 19.Ananya thinks of a number, multiplies it by 7 and then adds 9. The result is 16. What is the number?
  20. 20.Solve: 7m − 80 = 4. What is m?
  21. 21.Solve: 8n − 67 = 5. What is n?
  22. 22.Solve: 5(x + 3) = 40. What is x?
  23. 23.Solve: 9p + 8 = 26. What is p?
  24. 24.Solve: 5t + 16 = 51. What is t?
  25. 25.Arjun is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  26. 26.Solve: 3y − 4 = 17. What is y?
  27. 27.Solve: 6p − 35 = 43. What is p?
  28. 28.Solve: 9p + 1 = 46. What is p?
  29. 29.Solve: 4t + 7 = 55. What is t?
  30. 30.Solve: 3m − 26 = 13. What is m?
  31. 31.Solve: 5(t + 7) = 85. What is t?
  32. 32.Solve: 8m + 17 = 137. What is m?
  33. 33.Solve: 2(y + 2) = 16. What is y?
  34. 34.Solve: 7(y + 7) = 119. What is y?
  35. 35.Pooja thinks of a number, multiplies it by 7 and then adds 21. The result is 112. What is the number?
  36. 36.Tara is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  37. 37.Solve: 8m − 50 = 22. What is m?
  38. 38.Solve: 2(t + 3) = 32. What is t?
  39. 39.Zoya thinks of a number, multiplies it by 6 and then adds 24. The result is 102. What is the number?
  40. 40.Solve: 2t − 2 = 4. What is t?

Answer key

  1. 10
  2. 7
  3. 13
  4. 11
  5. 104
  6. 15
  7. 4
  8. 120
  9. 3
  10. 6
  11. 5
  12. 4
  13. 126
  14. 2
  15. 8
  16. 8
  17. 5
  18. 10
  19. 1
  20. 12
  21. 9
  22. 5
  23. 2
  24. 7
  25. 5
  26. 7
  27. 13
  28. 5
  29. 12
  30. 13
  31. 10
  32. 15
  33. 6
  34. 10
  35. 13
  36. 13
  37. 9
  38. 13
  39. 13
  40. 3

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